A MATHEMATICAL STUDY OF THE SEVEN GRAPTOLITE BIOZONES OF THE LOWER SILURIAN LONGMAXIAN STAGE IN CHINA

With the aid of matrix theory and computer a series of data can be obtained such as the total number of localities in which r species of graptolites appears, the common number of localities in which both i and j species of graptolites appear, the total number of species of graptolites in one locality, the common number of species of graptolites found in both i and j localities, the total number of zones in which r species of graptolites appears, the common number of zones in which both i and j species appear, the total number of species of graptolites found in one zone, the common number of species of graptolites found in both i and j zones. Based on these data a common problem in biostratigraphy may be solved, that is, in the absence of the zonal graptolite which species of graptolites can be chosen to replace the zonal graptolite, or how to detect the zonal graptolite of a graptolite biozone. The result of matrix treatment not only detects the graptolite biozone but is useful to infer the paleo-biogeo     

我国下志留统龙马溪阶七个笔石带的数学研究

用矩阵理论和计算机可以求得每种和两两关联笔石种出现的地区数,每一个和两两关联产地的笔石种数,每个和两两关联笔石种跨越的带数,每个带和两两关联带含有的笔石种数。根据这些数据就可解决在带笔石不存在或没有找到的情况下选取哪些种来代替以及如何确定各个化石带的存在与否的问题。矩阵处理结果不仅对确定和验证笔石带有重要价值,还对判断古生物地理区划、笔石带的顺序都有很大作用。